Answer:
Expression:
Value where y = 20
2
Step-by-step explanation:
Let's take a look at the sentence:
3 less than the quotient of y and 4
3 less indicates that you will subtract
- 3
Quotient means the result of division.
So if we combine the two, it says 3 less than the quotient so we subtract 3 from the quotient:
So if y = 20, we just substitute the y with 20
9514 1404 393
Answer:
Step-by-step explanation:
a) The starting height is h(0) = 7.5 feet, the constant in the quadratic function.
The irrigation system is positioned <u> 7.5 </u> feet above the ground
__
b) The axis of symmetry for quadratic ax^2 +bx +c is x = -b/(2a). For this quadratic, that is x=-10/(2(-1)) = 5. This is the horizontal distance to the point of maximum height. The maximum height is ...
h(5) = (-5 +10)(5) +7.5 = 32.5 . . . feet
The spray reaches a maximum height of <u> 32.5 </u> feet at a horizontal distance of <u> 5 </u> feet from the sprinkler head.
__
c) The maximum distance will be √32.5 + 5 ≈ 10.7 ft.
The spray reaches the ground at about <u> 10.7 </u> feet away.
